Author: Évelyne Barbin
Publisher: Springer
ISBN: 3030148084
Category : Mathematics
Languages : en
Pages : 446
Book Description
This book seeks to explore the history of descriptive geometry in relation to its circulation in the 19th century, which had been favoured by the transfers of the model of the École Polytechnique to other countries. The book also covers the diffusion of its teaching from higher instruction to technical and secondary teaching. In relation to that, there is analysis of the role of the institution – similar but definitely not identical in the different countries – in the field under consideration. The book contains chapters focused on different countries, areas, and institutions, written by specialists of the history of the field. Insights on descriptive geometry are provided in the context of the mathematical aspect, the aspect of teaching in particular to non-mathematicians, and the institutions themselves.
Descriptive Geometry, The Spread of a Polytechnic Art
Author: Évelyne Barbin
Publisher: Springer
ISBN: 3030148084
Category : Mathematics
Languages : en
Pages : 446
Book Description
This book seeks to explore the history of descriptive geometry in relation to its circulation in the 19th century, which had been favoured by the transfers of the model of the École Polytechnique to other countries. The book also covers the diffusion of its teaching from higher instruction to technical and secondary teaching. In relation to that, there is analysis of the role of the institution – similar but definitely not identical in the different countries – in the field under consideration. The book contains chapters focused on different countries, areas, and institutions, written by specialists of the history of the field. Insights on descriptive geometry are provided in the context of the mathematical aspect, the aspect of teaching in particular to non-mathematicians, and the institutions themselves.
Publisher: Springer
ISBN: 3030148084
Category : Mathematics
Languages : en
Pages : 446
Book Description
This book seeks to explore the history of descriptive geometry in relation to its circulation in the 19th century, which had been favoured by the transfers of the model of the École Polytechnique to other countries. The book also covers the diffusion of its teaching from higher instruction to technical and secondary teaching. In relation to that, there is analysis of the role of the institution – similar but definitely not identical in the different countries – in the field under consideration. The book contains chapters focused on different countries, areas, and institutions, written by specialists of the history of the field. Insights on descriptive geometry are provided in the context of the mathematical aspect, the aspect of teaching in particular to non-mathematicians, and the institutions themselves.
Axiomatic Geometry
Author: John M. Lee
Publisher: American Mathematical Soc.
ISBN: 0821884786
Category : Mathematics
Languages : en
Pages : 490
Book Description
The story of geometry is the story of mathematics itself: Euclidean geometry was the first branch of mathematics to be systematically studied and placed on a firm logical foundation, and it is the prototype for the axiomatic method that lies at the foundation of modern mathematics. It has been taught to students for more than two millennia as a mode of logical thought. This book tells the story of how the axiomatic method has progressed from Euclid's time to ours, as a way of understanding what mathematics is, how we read and evaluate mathematical arguments, and why mathematics has achieved the level of certainty it has. It is designed primarily for advanced undergraduates who plan to teach secondary school geometry, but it should also provide something of interest to anyone who wishes to understand geometry and the axiomatic method better. It introduces a modern, rigorous, axiomatic treatment of Euclidean and (to a lesser extent) non-Euclidean geometries, offering students ample opportunities to practice reading and writing proofs while at the same time developing most of the concrete geometric relationships that secondary teachers will need to know in the classroom. -- P. [4] of cover.
Publisher: American Mathematical Soc.
ISBN: 0821884786
Category : Mathematics
Languages : en
Pages : 490
Book Description
The story of geometry is the story of mathematics itself: Euclidean geometry was the first branch of mathematics to be systematically studied and placed on a firm logical foundation, and it is the prototype for the axiomatic method that lies at the foundation of modern mathematics. It has been taught to students for more than two millennia as a mode of logical thought. This book tells the story of how the axiomatic method has progressed from Euclid's time to ours, as a way of understanding what mathematics is, how we read and evaluate mathematical arguments, and why mathematics has achieved the level of certainty it has. It is designed primarily for advanced undergraduates who plan to teach secondary school geometry, but it should also provide something of interest to anyone who wishes to understand geometry and the axiomatic method better. It introduces a modern, rigorous, axiomatic treatment of Euclidean and (to a lesser extent) non-Euclidean geometries, offering students ample opportunities to practice reading and writing proofs while at the same time developing most of the concrete geometric relationships that secondary teachers will need to know in the classroom. -- P. [4] of cover.
Differential Geometry with Applications to Mechanics and Physics
Author: Yves Talpaert
Publisher: CRC Press
ISBN: 9780824703851
Category : Mathematics
Languages : en
Pages : 480
Book Description
An introduction to differential geometry with applications to mechanics and physics. It covers topology and differential calculus in banach spaces; differentiable manifold and mapping submanifolds; tangent vector space; tangent bundle, vector field on manifold, Lie algebra structure, and one-parameter group of diffeomorphisms; exterior differential forms; Lie derivative and Lie algebra; n-form integration on n-manifold; Riemann geometry; and more. It includes 133 solved exercises.
Publisher: CRC Press
ISBN: 9780824703851
Category : Mathematics
Languages : en
Pages : 480
Book Description
An introduction to differential geometry with applications to mechanics and physics. It covers topology and differential calculus in banach spaces; differentiable manifold and mapping submanifolds; tangent vector space; tangent bundle, vector field on manifold, Lie algebra structure, and one-parameter group of diffeomorphisms; exterior differential forms; Lie derivative and Lie algebra; n-form integration on n-manifold; Riemann geometry; and more. It includes 133 solved exercises.
Differential Geometry, Calculus of Variations, and Their Applications
Author: George M. Rassias
Publisher: CRC Press
ISBN: 1000943941
Category : Mathematics
Languages : en
Pages : 544
Book Description
This book contains a series of papers on some of the longstanding research problems of geometry, calculus of variations, and their applications. It is suitable for advanced graduate students, teachers, research mathematicians, and other professionals in mathematics.
Publisher: CRC Press
ISBN: 1000943941
Category : Mathematics
Languages : en
Pages : 544
Book Description
This book contains a series of papers on some of the longstanding research problems of geometry, calculus of variations, and their applications. It is suitable for advanced graduate students, teachers, research mathematicians, and other professionals in mathematics.
Descriptive Geometry--pure and Applied
Author: Frederick Newton Willson
Publisher:
ISBN:
Category : Curves
Languages : en
Pages : 222
Book Description
Publisher:
ISBN:
Category : Curves
Languages : en
Pages : 222
Book Description
Industrial Education
Author: Estados Unidos. Bureau of Labor
Publisher:
ISBN:
Category :
Languages : en
Pages : 716
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 716
Book Description
Annual Report of the Commissioner of Labor
Author: United States. Department of Labor
Publisher:
ISBN:
Category : Labor
Languages : en
Pages : 720
Book Description
Publisher:
ISBN:
Category : Labor
Languages : en
Pages : 720
Book Description
Industrial Education
Author: United States. Bureau of Labor
Publisher:
ISBN:
Category : Manual training
Languages : en
Pages : 720
Book Description
Publisher:
ISBN:
Category : Manual training
Languages : en
Pages : 720
Book Description
Global Lorentzian Geometry
Author: John K. Beem
Publisher: Routledge
ISBN: 1351444700
Category : Science
Languages : en
Pages : 660
Book Description
Bridging the gap between modern differential geometry and the mathematical physics of general relativity, this text, in its second edition, includes new and expanded material on topics such as the instability of both geodesic completeness and geodesic incompleteness for general space-times, geodesic connectibility, the generic condition, the sectional curvature function in a neighbourhood of degenerate two-plane, and proof of the Lorentzian Splitting Theorem.;Five or more copies may be ordered by college or university stores at a special student price, available on request.
Publisher: Routledge
ISBN: 1351444700
Category : Science
Languages : en
Pages : 660
Book Description
Bridging the gap between modern differential geometry and the mathematical physics of general relativity, this text, in its second edition, includes new and expanded material on topics such as the instability of both geodesic completeness and geodesic incompleteness for general space-times, geodesic connectibility, the generic condition, the sectional curvature function in a neighbourhood of degenerate two-plane, and proof of the Lorentzian Splitting Theorem.;Five or more copies may be ordered by college or university stores at a special student price, available on request.
Descriptive Geometry--Pure and Applied; With a Chapter on Higher Plane Curves and the Helix ... Prepared for Courses in General Science, Engineering a
Author: Frederick Newton Willson
Publisher:
ISBN: 9781376075403
Category : History
Languages : en
Pages : 224
Book Description
Publisher:
ISBN: 9781376075403
Category : History
Languages : en
Pages : 224
Book Description